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Finding the Fourth Proportional to 13,349.40, 20,024.10 and 9,412.80

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Solution

The fourth proportional to 13,349.40, 20,024.10 and 9,412.80 is: 14,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.40 : 20,024.10 = 9,412.80 : x
  2. Step 2: Convert to fraction form
    13,349.40/20,024.10 = 9,412.80/x
  3. Step 3: Cross multiply
    13,349.40x = 20,024.10 × 9,412.80
  4. Step 4: Simplify right side
    13,349.40x = 188,482,848.48
  5. Step 5: Solve for x
    x = 188,482,848.48/13,349.40
  6. Step 6: Final answer
    x = 14,119.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.